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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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Discrete Variational Analysis
by
Martin Bohner
University of Missouri-Rolla

We are concerned with a discrete variational problem for the higher dimensional case. In this talk we develop conditions for local extrema of such a discrete problem, among them Euler's condition, Legendre's condition, the strengthened Legendre condition, and Jacobi's condition. We point out common features as well as discrepancies between the discrete and continuous theory. In particular the discrete version of Legendre's condition appears to be completely different from its continuous counterpart, and we will make an attempt to explain this situation.

http://www.umr.edu/~bohner

Date received: March 30, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-42.